Use our free GCF of Fractions Calculator tool to compute the GCF of 841/686, 783/548 i.e 29/187964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 841/686, 783/548.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 841/686,783/548
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 841/686,783/548, numerators are 841,783
Denominators are 686,548
The GCF of 841,783 is 29 .
LCM of 686,548 is 187964.
The greatest common factor of 841/686,783/548 = [GCF of 841,783]/[LCM of 686,548]= 29/187964
Therefore, the GCF of 841/686,783/548 is 29/187964.
To find the highest common factor of 841,783, we have to find the factors of both numbers and list the highest common factor.
The factors of 841 are 1, 29, 841
The factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783
The HCF of 841,783 is 29.
Lets's calculate GCF of 841,783
29 | 841, 783 |
29, 27 |
∴ So the GCF of the given numbers is 29 = 29
Now, list down the factors of 841
:1,29,841
Now, list down the factors of 783
:1,3,9,27,29,87,261,783
Greatest Common Factor
We found the factors 841,783 . The biggest common factor number is the GCF number.
So the greatest common factor 841,783 is 29.
Lets's calculate LCM of 686,548
2 | 686, 548 |
343, 274 |
∴ So the LCM of the given numbers is 2 x 343 x 274 = 187964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/187964
Therefore, the GCF of Fractions 841/686,783/548 is 29/187964
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 686,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,548) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(686,548) x common factors =2 x 1 = 2
LCM(686,548) = ( 686 × 548 ) / 2
LCM(686,548) = 375928 / 2
LCM(686,548) = 187964
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 841,783?
The HCF of 841,783 is 29
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 841/686, 783/548?
Answer: GCF of Numerators as per given numbers 841/686, 783/548 is
GCF of Numerators i.e. for 841,783 is 29
LCM of denominators i.e. for 686,548 is 187964.
Thus, GCF of Fractions is 29/187964.Finally, GCF of Fractions for 841/686, 783/548 is 29/187964.